To solve the problem in the image, we are asked to:

1. Find one value of $x$ such that $h(x) = 4$.
2. Find $h(4)$.

Step 1: Finding $x$ such that $h(x) = 4$

Looking at the graph, the value of $h(x) = 4$ corresponds to when the graph of $h$ intersects the line $y = 4$. This happens at two points. From the graph:

• One value where $h(x) = 4$ appears to be $x = -2$ (since the curve passes through $(-2, 4)$).

Step 2: Finding $h(4)$

From the graph, the point $x = 4$ is on the $x$-axis. When $x = 4$, the graph shows that $h(4) = -3$, because the curve passes through the point $(4, -3)$.

Answers:

• One value of $x$ for which $h(x) = 4$ is $x = -2$.
• $h(4) = -3$.

Would you like further clarifications or details on any part of this? Here are 5 related questions for further exploration:

1. What other value of $x$ satisfies $h(x) = 4$?
2. How would you find the vertex of this parabola?
3. What is the general equation of a parabola, and how does it relate to this graph?
4. How can we determine the axis of symmetry from the graph?
5. What is the significance of the zeros of the function $h$?

Tip: When reading graphs, always look carefully at key points like intercepts and maximum/minimum points to understand the behavior of the function.